Previous place I lived, flat on the top two floors of a six storey block, discovered quite quickly after moving in had both cockroaches and bed bugs. Yay. Got the council pest control round and they said that it’s virtually impossible to actually get rid of either out of blocks, you just have to make it easier for them to go elsewhere in the building. Some hard core cleaning, steaming and chemical warfare and neither ever came back.
Have had a few mice over the years in current place. Nothing major fortunately. Next door neighbour had bees make a hive in his loft a couple of years back - paid someone to destroy the hive, which I think might be illegal.
Flat I lived in in Sydney had endless giant flying cockroaches and fairly regular visits from huntsman spiders…